Save notebook execution outputs with successful Gemini API results

Added execution outputs showing:
- Gemini API + Instructor achieves 100% accuracy
- Repeatability test confirms deterministic outputs (5 runs, all 31.2)
- No variability unlike local models
- Clean outputs with enhanced warning suppression working

This demonstrates the key finding: API-based structured extraction
is reliable and deterministic, solving the variability problem that
makes local models unsuitable for production use.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

Author: nipunbatra